A305317 - cp's OEIS frontend

A305317 a(n) gives the length of the period of the regular continued fraction of the quadratic irrational of any Markoff form representative Mf(n), n >= 1 (assuming the uniqueness conjecture).

n	a(n)
1	1
2	1
3	4
4	6
5	6
6	8
7	10
8	8
9	10
10	12
11	10
12	14
13	10
14	14
15	16
16	14
17	18
18	12
19	14
20	16
21	18
22	20
23	14
24	22
25	14
26	16
27	18
28	20
29	22
30	24
31	18
32	22
33	16
34	26
35	22
36	26
37	18
38	28
39	22
40	26

[1, 1, 4, 6, 6, 8, 10, 8, 10, 12, 10, 14, 10, 14, 16, 14, 18, 12, 14, 16, 18, 20, 14, 22, 14, 16, 18, 20, 22, 24, 18, 22, 16, 26, 22, 26, 18, 28, 22, 26]

cp's OEIS Frontend

A305317 a(n) gives the length of the period of the regular continued fraction of the quadratic irrational of any Markoff form representative Mf(n), n >= 1 (assuming the uniqueness conjecture).

Table of values

List of values

n	a(n)
1	1
2	1
3	4
4	6
5	6
6	8
7	10
8	8
9	10
10	12
11	10
12	14
13	10
14	14
15	16
16	14
17	18
18	12
19	14
20	16
21	18
22	20
23	14
24	22
25	14
26	16
27	18
28	20
29	22
30	24
31	18
32	22
33	16
34	26
35	22
36	26
37	18
38	28
39	22
40	26

n	a(n)
1	1
2	1
3	4
4	6
5	6
6	8
7	10
8	8
9	10
10	12
11	10
12	14
13	10
14	14
15	16
16	14
17	18
18	12
19	14
20	16
21	18
22	20
23	14
24	22
25	14
26	16
27	18
28	20
29	22
30	24
31	18
32	22
33	16
34	26
35	22
36	26
37	18
38	28
39	22
40	26

n	a(n)
1	1
2	1
3	4
4	6
5	6
6	8
7	10
8	8
9	10
10	12
11	10
12	14
13	10
14	14
15	16
16	14
17	18
18	12
19	14
20	16
21	18
22	20
23	14
24	22
25	14
26	16
27	18
28	20
29	22
30	24
31	18
32	22
33	16
34	26
35	22
36	26
37	18
38	28
39	22
40	26